#include<bits/stdc++.h>
using namespace std;
#define _ ios_base::sync_with_stdio(0);cin.tie(0);
#define pb push_back
#define f first
#define s second
#define int long long
typedef pair<int, int>ii;
typedef long long ll;
const int INF = 0x3f3f3f3f;
const long long LINF = 0x3f3f3f3f3f3f3f3f;
const int MAX = 2e5+10, UPD = 2e5+10, LOG = 19;
const int MAXS = 2*MAX+UPD*LOG;
const int maxn = 200005;
namespace perseg {
ll seg[MAXS];
int rt[UPD], L[MAXS], R[MAXS], cnt, t;
int n, *v;
ll build(int p, int l, int r) {
if (l == r) return seg[p] = v[l];
L[p] = cnt++, R[p] = cnt++;
int m = (l+r)/2;
return seg[p] = build(L[p], l, m) + build(R[p], m+1, r);
}
void build(int n2, int* v2) {
n = n2, v = v2;
rt[0] = cnt++;
build(0, 0, n-1);
}
ll query(int a, int b, int p, int l, int r) {
if (b < l or r < a) return 0;
if (a <= l and r <= b) return seg[p];
int m = (l+r)/2;
return query(a, b, L[p], l, m) + query(a, b, R[p], m+1, r);
}
ll query(int a, int b, int tt=t) {
return query(a, b, rt[tt], 0, n-1);
}
ll update(int a, int x, int lp, int p, int l, int r) {
if (l == r) return seg[p] = seg[lp]+x;
int m = (l+r)/2;
if (a <= m)
return seg[p] = update(a, x, L[lp], L[p]=cnt++, l, m) + seg[R[p]=R[lp]];
return seg[p] = seg[L[p]=L[lp]] + update(a, x, R[lp], R[p]=cnt++, m+1, r);
}
int update(int a, int x, int tt=t) {
update(a, x, rt[tt], rt[++t]=cnt++, 0, n-1);
return t;
}
};
int n, q;
int32_t main(){_
cin >> n >> q;
//guarda o tempo de quanto o vetor passou a ter todos os artigos com indice pelo menos k.
int tms[maxn];
int auxv[maxn];
memset(auxv, 0, sizeof auxv);
perseg::build(maxn, auxv);
vector<int> vals[maxn];
for(int i = 0; i < n; i++){
int a; cin >> a;
vals[a].pb(i);
}
int last = 0;
for(int i = maxn-1; i >= 0; i--){
while(vals[i].size()){
int va = vals[i].back();
vals[i].pop_back();
last = perseg::update(va, 1);
}
tms[i] = last;
}
while(q--){
int a, b; cin >> a >> b;
a--;
b--;
//cout << perseg::query(a, b, tms[4]) << endl;
int l = 0, r = 200000;
while(l<r){
int m = (l+r+1)/2;
if(perseg::query(a, b, tms[m]) >= m) l = m;
else r = m-1;
}
cout << l <<endl;
}
}
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